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Finding the Third Proportional to 1,543.36 and 3,008.53

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Solution

The third proportional to 1,543.36 and 3,008.53 is: 5,864.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.36 : 3,008.53 = 3,008.53 : x
  2. Step 2: Convert to fraction form
    1,543.36/3,008.53 = 3,008.53/x
  3. Step 3: Cross multiply
    1,543.36x = 3,008.53 × 3,008.53
  4. Step 4: Simplify right side
    1,543.36x = 9,051,260.28
  5. Step 5: Solve for x
    x = 9,051,260.28/1,543.36
  6. Step 6: Final answer
    x = 5,864.65

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.